Contents: Le matrici; Funzioni matriciali; La forma canonica di Jordan La geometria per la graca al computer; I sistemi lineari; La ricerca degli autovalori; Decomposizione ai valori singolari ed applicazioni; Matrici polinomiali; Esperimenti numerici con octave. Lecture Notes Collection FreeScience.info ID2430 Obtained from http://poincare.unile.it/vitolo/vitolo_files/didattica/calcmat/matrix.pdf http://www.freescience.info/go.php?pagename=books&id=2430 Topics: Linear Algebra, "
Contents: Matrix Methods for Electrical Systems; Matrix Methods for Mechanical Systems: The Column and Null Spaces; The Fundamental Theorem of Linear Algebra; Least Squares; Matrix Methods for Dynamical Systems; Complex Numbers and Functions; Complex Integration; The Eigenvalue Problem: The Spectral Representation of a Symmetric Matrix; The Singular Value Decomposition: Reduced Dynamical Systems. Lecture Notes Collection FreeScience.info ID2621 Obtained from... Topics: Linear Algebra, "
Linear Algebra: A First Course presents an introduction to the fascinating subject of linear algebra. As the title suggests, this text is designed as a first course in linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail, with proofs of important theorems provided. Connections to additional topics covered in advanced courses are introduced, in an effort to assist those students who are interested in continuing... Topic: Linear algebra
These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone who wants a quick desktop reference . Lecture Notes Collection FreeScience.info ID767 Obtained from http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf http://www.freescience.info/go.php?pagename=books&id=767 Topics: Linear Algebra, "
While I began researching for this book on linear algebra, I was a little startled. Though, it is an accepted phenomenon, that mathematicians are rarely the ones to react surprised, this serious search left me that way for a variety of reasons. First, several of the linear algebra books that my institute library stocked (and it is a really good library) were old and crumbly and dated as far back as 1913 with the most 'new' books only being the ones published in the 1960s. Topic: linear algebra
Contents: Domains, Modules and Matrices; Canonical Forms for Similarity; Functions of Matrices and Analytic Similarity; Inner product spaces; Elements of Multilinear Algebra; Nonnegative matrices; Convexity. Lecture Notes Collection FreeScience.info ID2497 Obtained from http://homepages.math.uic.edu/~friedlan/bookm.pdf http://www.freescience.info/go.php?pagename=books&id=2497 Topics: Linear Algebra, "
Chapter 12 of the Precalculus text and Chapter 12 of the Honors Algebra 2 Trig text deal with matrices. Here we go over some of the applications of the wonderful world of the matrix. After some calculus, you may enjoy taking a course in Linear Algebra! Topics: matrix, linear algebra
Let V be a Euclidean space, i.e. a real �nite dimensional linear space with a symmetric positive de�nite inner product _,_. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1666
Because any enumeration of a set of simple roots is related to any other enumeration by some �nite number of permutations, the relationship between any two Cartan matrices for a root system is an isomorphism by the conjugate product of permutation matrices. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1667
This section explains three Fourier series: sines, cosines, and exponentials e^(ikx) . Square waves (1 or 0 or _1) are great examples, with delta functions in the derivative. We look at a spike, a step function, and a ramp�and smoother functions too. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1324
Let V be a Euclidean space, that is a �nite dimensional real linear space with a symmetric positive de�nite inner product _,_. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1664
We shall associate a �Cartan matrix� to the system _ _ _ and derive some properties of this matrix. An abstract Cartan matrix will be any square matrix with this list of properties. It turns out that an abstract Cartan matrix essentially determines the root system. In this paper we will work toward making this statement precise and proving it. The problem of classi�cation of root systems is reduced then to the classi�cation of the Cartan matrices. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1662
This summary begins with two lists that use most of the key words of linear algebra. The �rst list applies to invertible matrices. That property is described in 14 di_erent ways. The second list shows the contrast, when A is singular (not invertible). Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1325
Now we are ready to introduce the notion of a re�ection in a Eu_clidean space. A re�ection in V is a linear mapping s : V_ V which sends some nonzero vector _ _ V to its negative and �xes pointwise the hyperplane H_ orthogonal to _. To indicate this vector, we will write s = s_. The use of Greek letters for vectors is traditional in this context. Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics Source: http://www.flooved.com/reader/1665
A basic introduction to the Calculus and Linear Algebra. The goal is to make students mathematically literate in preparation for studying a scientific/engineering discipline. The first week covers differential calculus: graphing functions, limits, derivatives, and applying differentiation to real-world problems, such as maximization and rates of change. The second week covers integral calculus: sums, integration, areas under curves and computing volumes. This is not meant to be a comprehensive... Topics: ars digita, calculus, linear algebra